The activation functions of your neural network determine how it introduces non-linearity and complexity to your continuous data. Therefore, it's important to choose activation functions that are compatible with your data range and distribution, as well as your network architecture and performance. Some of the common activation functions are sigmoid, tanh, ReLU, and leaky ReLU. A sigmoid function outputs a value between 0 and 1, and is often used for binary classification or probability estimation. However, it can suffer from vanishing gradients and saturation problems, especially for deep networks. A tanh function outputs a value between -1 and 1, and is often used for regression or representation learning. It can also suffer from vanishing gradients and saturation problems. A ReLU function outputs a value between 0 and infinity, and is often used for convolutional or dense networks. It can avoid vanishing gradients and saturation problems while speeding up the training process. However, it can suffer from dying neurons and sparsity problems, especially for large networks. As an alternative to ReLU, a leaky ReLU function outputs a value between -infinity and infinity. It can prevent dying neurons and sparsity problems while introducing some noise and regularization. Nevertheless, it can also introduce instability and sensitivity problems, especially for noisy or sparse data.